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Finding the Third Proportional to 83,732,078 and 177,406,501

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Solution

The third proportional to 83,732,078 and 177,406,501 is: 375,878,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732,078 : 177,406,501 = 177,406,501 : x
  2. Step 2: Convert to fraction form
    83,732,078/177,406,501 = 177,406,501/x
  3. Step 3: Cross multiply
    83,732,078x = 177,406,501 × 177,406,501
  4. Step 4: Simplify right side
    83,732,078x = 31,473,066,597,063,000
  5. Step 5: Solve for x
    x = 31,473,066,597,063,000/83,732,078
  6. Step 6: Final answer
    x = 375,878,245.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.